LCM of 348, 349, 998, 852, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 349, 998, 852, 592 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 348, 349, 998, 852, 592. So, keep reading to learn more.
Given numbers are 348,349,998,852,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,349,998,852,592 is 636832590384.
Find LCM of 348,349,998,852,592 with Prime Factorization
| 2 | 348, 349, 998, 852, 592 |
| 2 | 174, 349, 499, 426, 296 |
| 3 | 87, 349, 499, 213, 148 |
| 29, 349, 499, 71, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 349 x 499 x 71 x 148 = 636832590384
Therefore, the lowest common multiple of 348,349,998,852,592 is 636832590384.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
348 x 349 x 998 x 852 x 592 = 61135928676864
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
349 : 1, 349
998 : 1, 2, 499, 998
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,349,998,852,592, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
349:349
998:2x 499
852:2x 2x 3x 71
592:2x 2x 2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 61135928676864/(1x96)
LCM = 61135928676864/96
LCM = 636832590384
Thus, we can understand that the LCM of 348,349,998,852,592 is 636832590384.
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FAQs on LCM of 348, 349, 998, 852, 592
1. What is the LCM of 348, 349, 998, 852, 592?
Answer: LCM of 348, 349, 998, 852, 592 is 636832590384.
2. How to calculate the LCM of 348, 349, 998, 852, 592?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 348, 349, 998, 852, 592.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.